The answer is O 0.260.
To find the probability of rolling two 5's when 8 fair six-sided dice are thrown, we can use the binomial probability formula. The probability of rolling a 5 on one die is 1/6, and the probability of not rolling a 5 on one die is 5/6. We want to find the probability of getting exactly two 5's, which can happen in different ways. We can roll a 5 on the first die and another 5 on the second die, or we can roll a 5 on the second die and another 5 on the third die, and so on. Therefore, the probability of getting exactly two 5's is:
P(X = 2) = (8 choose 2) * (1/6)^2 * (5/6)^6
where (8 choose 2) is the number of ways to choose 2 dice out of 8, which is equal to 28. Using a calculator, we get:
P(X = 2) ≈ 0.260
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To solve 2x=8 you need to divide by what number?
PLEASEEEE HELP
Answer:
divide by 2
Step-by-step explanation:
to find x you must divide 8 by 2.
Answer:
you divide 8 by 2
Step-by-step explanation:
To isolate the variable, x you need to divide by 2 on both sides so it cancels out the 2 on 2x and will divide 8 by 2=4
Describe the sampling distribution of p. Assume the size of the population is 30,000. n=900, p=0.532 Describe the shape of the sampling distribution of p. Choose the correct answer below. OA The shape
The normal approximation to the binomial distribution also implies that the sampling distribution of p is roughly bell-shaped, as the normal distribution is. Therefore, the answer is A) The shape.
The sampling distribution of the proportion is the distribution of all possible values of the sample proportion that can be calculated from all possible samples of a certain size taken from a particular population in statistical theory. The state of the examining dispersion of p is generally chime molded, as it is an illustration of a binomial conveyance with enormous n and moderate p.
The example size (n=900) is sufficiently enormous to legitimize utilizing an ordinary guess to the binomial dissemination, as indicated by as far as possible hypothesis. In order for the binomial distribution to be roughly normal, a sample size of at least 30 must be present, which is achieved.
Subsequently, the examining dispersion of p can be thought to be around ordinary with a mean of 0.532 and a standard deviation of roughly 0.0185 (involving the equation for the standard deviation of a binomial distribution).The typical estimate to the binomial dissemination likewise infers that the inspecting conveyance of p is generally chime molded, as the ordinary circulation is. As a result, A) The shape is the response.
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if a nonlinear system of equations contains one linear function that touches the quadratic function at its maximum, then the system has which of the following? a. no solution b. one solution c. two solutions d. infinitely many solutions
When a nonlinear system of equations contains one linear function that touches the quadratic function at its maximum, then the system has one solution
A system of equations is considered nonlinear if it contains at least one nonlinear equation. One linear function in a nonlinear system of equations touches the quadratic function at maximum. It illustrates one solution.
The given system of equation is presented as follows;
Linear function: f(x) = mx + c
Quadratic function: f(x) = ax² + bx + c
It should be noted that given that the linear function touches the quadratic function at maximum we have;
ax² + bx + c = 0
Therefore, if a nonlinear system of equations contains one linear function that touches the quadratic function at its maximum has one solution.
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Select the correct answer
Consider functions fand g.
F(x) = 1/4 x^3 + 2x - 1
g(x) = 5(x-1) – 3
Using a table of values, what is an approximate solution to the equation f(x) = g(x) to the nearest quarter of a unit?
Α. 2.50
B. 1.50
C. 2.25
D. 1.75
An approximate solution to the equation f(x) = g(x) to the nearest quarter of a unit is; A: 2.5
How to solve simultaneous equations?
We are given;
f(x) = ¹/₄x³ + 2x - 1
g(x) = [5^(x - 1)] - 3
Thus;
f(x) = g(x) gives;
¹/₄x³ + 2x - 1 = [5^(x - 1)] - 3
At x = 2, we have;
LHS = 5
RHS = 2
At x = 2.5, we have;
LHS = 7.90625
RHS = 8.180
The answer to the two sides are close and so we can adopt that.
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 46°
Step-by-step explanation:
64° + 70° + x = 180°
x = 180° - 64° - 70°
x = 46°
Olga decorates blankets with ribbons. She has 12 yards of ribbon. She uses 22 feet of ribbon to decorate blankets. After decorating the blankets, how many feet of ribbons are left?
Answer:
14 feet
Step-by-step explanation:
So first you convert the 12 yards to feet; now you will get 36 feet. If she uses 22 feet, you subtract 22 from 36 to get the answer of 14 feet of ribbon
What is 8 21/40 put into a decimal
Answer:
320/21
Step-by-step explanation:
Which of the following describes the arrangement of network cabling between devices?
a. Logical topology
b. Networking technology
c. Physical topology
d. Media access method
Answer:
Physical means the actual wires. Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.
a. Logical
Step-by-step explanation:
...
The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).
What is the Physical topology?The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.
A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.
Therefore, the arrangement of network cabling between devices is a physical topology.
Hence, the correct answer would be an option (C).
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8 The table shows number of bottles of water four
students drank. One bottle holds 335 milliliters. How
many more fluid ounces did Michael drink than
Lydia? (Hint: 1 fl oz ≈ 30 mL)
Kyle = 5 Bottles of Water
Lisa = 4 Bottles of Water
Lydia = 3 Bottles of Water
Michael = 6 Bottles of Water
Michael drinks 33.5 fl oz more fluid ounces than Lydia.
Given in question,
30 ml = 1 fl oz
1 ml = 1/30 fl oz
1 bottle = 335 milliliters
No. of bottles of water Michael drank = 6
= 6 * 335 milliliters
= 2010 milliliters
= 2010/30 fl oz
= 67 fl oz
No. of bottles of water Lydia drank = 3
= 3 * 335 milliliters
= 1005 milliliters
= 1005/30 fl oz
= 33.5 fl oz
Therefore, 67 - 33.5 = 33.5
Hence, Michael drinks 33.5 fl oz more fluid ounces than Lydia.
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Molly is making a punch for the school picnic. The recipe calls for 3/4 quart of lemonade, 3 cups of cranberry juice, 4 cans of orange juice concentrate, and 5 cups of water. If Molly uses 1(2/5) quarts of lemonade, how many cups of cranberry juice will she need?
She will need 5 3/5 cups of cranberry juice to make a punch for the school if Molly uses 1 2/5 quarts of lemonade.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
To make the recipe,
3/4 quart of lemonade and 3 cups of cranberry juice
The ratio of cranberry juice to a quart of lemonade
⇒ 3/(3/4) = 4
To make the same recipe with 1(2/5) quarts of lemonade the ratio of cranberry juice to a quart of lemonade must be maintained.
So,
4 = cranberry juice / 1(2/5)
(5/7) × cranberry juice = 4
Cranberry juice = 28/5 ⇒ 5 (3/5).
Hence "She will need 5 3/5 cups of cranberry juice to make a punch for the school if Molly uses 1 2/5 quarts of lemonade".
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if we want to test for the significance of the model, the critical value of f at a 5% significance level is
To test for the significance of the model at a 5% significance level, the critical F value must be determined using the degrees of freedom and the F distribution table or statistical software. The calculated F value is then compared to the critical F value to determine if the model is statistically significant.
The significance of a model is determined by comparing the calculated F value to the critical F value at a given significance level. The critical F value is determined by the degrees of freedom for the numerator and denominator, and the significance level.
At a 5% significance level, the critical F value can be found using a F distribution table or a statistical software. The critical F value will be the value at which 95% of the F distribution falls below it, and 5% falls above it.
For example, if the degrees of freedom for the numerator are 2 and the degrees of freedom for the denominator are 10, the critical F value at a 5% significance level would be 4.10. If the calculated F value is greater than the critical F value, the model is considered to be statistically significant at the 5% level.
In conclusion, to test for the significance of the model at a 5% significance level, the critical F value must be determined using the degrees of freedom and the F distribution table or statistical software. The calculated F value is then compared to the critical F value to determine if the model is statistically significant.
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Write the equation of line perpendicular to y = 4 that passes through (5, 2).
I WILL GIVE YOU 100 POINTS. PLEASE HELP ME
To conserve water, many communities have developed water restrictions. The water utility charges a fee of $29, plus an additional $1.41 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household is between $54 and $82 dollars per month. If x represents the water usage in HCF in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (Round your answer to one decimal place.)
A 54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be between 17.7 and 37.6 HCF.
B 54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be between 17.7 and 58.2 HCF.
C 54 ≤ 1.41x − 29 ≤ 82; To stay within the range, the usage should be between 38.2 and 78.7 HCF.
D 54 ≤ 1.41x − 29 ≤ 82; To stay within the range, the usage should be between 58.9 and 78.7 HCF.
I need help with geometry
Answer:
N, M, P
Step-by-step explanation:
The smallest angle is opposite the shortest side
The largest angle is opposite the longest side
Thus
∠ N is opposite the shortest side MP = 10
∠ P is opposite the longest side MN = 18
From smallest to largest, then
∠ N, ∠ M, ∠ P
Identify the angle of elevation.
The angle of elevation in the figure is 8
What is angle of elevationThe angle of elevation is the angle between the horizontal line and the line of sight or upward direction from an observer to an object that is above the horizontal level. It is usually measured in degrees, and it is used to describe the upward tilt of an object or a location in relation to the observer's eye level.
The angle of elevation is commonly used in mathematics, physics, astronomy, and engineering to calculate distances, heights, and angles. For example, an engineer may use the angle of elevation to determine the height of a tower or a bridge, or an astronomer may use it to calculate the altitude of a star above the horizon.
From this image, the angle of elevation is 8
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Suppose that a telemarketer has a 12% chance of making a sale on
any given call. If the telemarketer makes average of 5 calls per
hour, calculate:
a) The probability that the telemarketer will make ex
The probability that the telemarketer will make exactly two sales in one hour is 0.0984 (approx.).
Here, p = 0.12 and q = 1 - p = 1 - 0.12 = 0.88
First, we need to find the probability that the telemarketer will make 2 sales in 5 calls.
This can be calculated using the binomial probability distribution formula:
P(X = 2)
= (5C2) × 0.12² × 0.88³
= (10) × (0.0144) × (0.681472)
= 0.09841792 (approx.)
Now, we need to find the probability that the telemarketer will make exactly two sales in one hour, which means 5 calls.
P(X = 2) in 1 hour = 0.09841792 (as we already calculated this)
We need to find the probability of making exactly two sales in 1 hour which means 5 calls as the telemarketer makes an average of 5 calls per hour.
Therefore, the probability of making exactly two sales in 1 hour is given by:
P(X = 2) in 1 hour = P(X = 2) in 5 calls = 0.09841792 (approx.)
Therefore, the probability that the telemarketer will make exactly two sales in one hour is 0.0984 (approx.).
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5 to the power of 2x=20
The approximate value of x in the equation 5 to the power of 2x=20 is 0.93
Calculating the value of xFrom the question, we have the following parameters that can be used in our computation:
5 to the power of 2x=20
As an expression, we have
5^(2x) = 20
Take the natural logarithm of both sides
so, we have the following representation
2x = ln(20)/ln(5)
Evaluate the quotients
This gives
2x = 1.86
So, we have
x = 0.93
Hence, the value of x is 0.93
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usage patterns are a variable used in blank______ segmentation.
Answer:
usage patterns are a variable used in market segmentation.
Step-by-step explanation:
Usage patterns are a variable used in behavioral segmentation.
Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.
Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.
By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.
Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.
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Find the missing side or angle.
Round to the nearest tenth.
B=110°
C= 30°
a=12
c=[ ? ]
Hope you understand :)
The value of angel A = 40 and side= 9.3 cm
What is sine law?The ratio of the side and the corresponding angle of a triangle is equal to the diameter of the circumcircle of the triangle. The sine law is can therefore be given as,
a/ sin A= b/ sin B= c/ sin C
The law of sines formula is used for relating the lengths of the sides of a triangle to the sines of consecutive angles. It is the ratio of the length of the side of the triangle to the sine of the angle thus formed between the other two remaining sides. The law of sines formula is used for any triangle apart from SAS triangle and SSS triangle. It says,
a/sin A = b/sin B = c/sin C
where,
a, b, and c are the lengths of the triangle
A, B, and C are the angles of the triangle.
Using angle sum property,
<A + <B + <C= 180
<A + 110 + 30 = 180
<A = 180- 140
<A= 40
Now, Using law
a/ sin A= b/ sin B= c/ sin C
12/sin 40 = c/ sin 30
c= 9.3
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Sammy bought fruit at the farmers market to resell at the school snack stand. she bought a total of 288 pieces of fruit. she bought 4 times as many apples as pears, twice as many peaches as pears, and 5 times as many oranges as pears. let b be the number of pears.
Answer:
is this on khan academy?
Whoever answers first gets brainliest
Come up with a story for graph c
Answer:
Mike ran half way to school walked to school and ran the rest
Step-by-step explanation:
How
do you solve this for coefficients?
g(x) = { 1₁ -1 - T≤x≤0 осхь п 1 f(x+2TT) = g(x)
The coefficient for the interval -T ≤ x ≤ 0 in the function g(x) is 1. However, the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x). Without additional information about f(x), we cannot determine its coefficient for that interval.
To solve for the coefficients in the function g(x), we need to consider the conditions given:
g(x) = { 1, -1, -T ≤ x ≤ 0
{ 1, f(x + 2π) = g(x)
We have two pieces to the function g(x), one for the interval -T ≤ x ≤ 0 and another for the interval 0 ≤ x ≤ 2π.
For the interval -T ≤ x ≤ 0, we are given that g(x) = 1, so the coefficient for this interval is 1.
For the interval 0 ≤ x ≤ 2π, we are given that f(x + 2π) = g(x). This means that the function g(x) is equal to the function f(x) shifted by 2π. Since f(x) is not specified, we cannot determine the coefficient for this interval without additional information about f(x).
The coefficient for the interval -T ≤ x ≤ 0 is 1, but the coefficient for the interval 0 ≤ x ≤ 2π depends on the specific form of the function f(x).
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Please can I have an explanation also, I am terrible at these kinds of questions!
Q- A bag contain red, yellow and blue beads.
The ratio of red beads to yellow beads is 2:3
The ratio of yellow beads to blue beads is 5:4
Work out what fraction of the beads are red.
Answer:
The fraction of the beads that are red is
Step-by-step explanation:
Algebraic Expressions
A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:
r:y = 2:3
y:b = 5:4
We are required to find r:s, where s is the total of beads in the bag, or
s = r + y + b
Thus, we need to calculate:
\(\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]\)
Knowing that:
\(\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]\)
\(\displaystyle \frac{y}{b}=\frac{5}{4}\)
Multiplying the equations above:
\(\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}\)
Simplifying:
\(\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]\)
Dividing [1] by r:
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}\)
Substituting from [2] and [3]:
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}\)
Operating:
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}\)
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}\)
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}\)
The fraction of the beads that are red is \(\mathbf{\frac{10}{37}}\)
PRETEST: The Number System
What is the fractional equivalent of the repeating decimal 0.2?
0339
off
O
O
6/N
27
5 of 13 QUESTIONS
SUBMIT
The fractional equivalent of the repeating decimal 0.2 is 2/9
How to determine the fractional equivalent of the repeating decimalFrom the question, we have the following parameters that can be used in our computation:
Repeating decimal = 0.2
Represent properly
So, we have
Repeating decimal = 0.2222
Express as fraction
So, we have
Fraction = 2/(10 - n)
In this case
n = 1
So, we have
Fraction = 2/(10 - 1)
Evaluate
Fraction = 2/9
Hence, the fractional equivalent is 2/9
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Grandma is planning to host Thanksgiving this year. She recently bought a new table and needs to make sure everyone will fit around it. The perimeter of the table is 350 inches. Each of her fancy place settings is 30 inches wide, which includes a buffer zone so people do not hit elbows. How many people can she comfortably sit at this new table?
Answer:
about 15-20 people
Step-by-step explanation:
pat bought several pens at target for 60 cents. Spending the same amount of money at the cougar shop Pat then bought more pens that cost 80 cents. in all 42 pens were bought. how many pens were bought from each place.
Pat bought 24 pens from Target (at 60 cents each) and 18 pens from the Cougar Shop (at 80 cents each).
Let's assume that Pat bought "x" pens from Target and "42 - x" pens from the Cougar Shop. We know that the cost of each pen at Target is 60 cents and the cost of each pen at the Cougar Shop is 80 cents.
To find the number of pens bought from each place, we need to set up an equation based on the total cost of the pens.
From Target: Cost per pen * Number of pens = Total cost
60x = Total cost from Target
From Cougar Shop: Cost per pen * Number of pens = Total cost
80(42 - x) = Total cost from Cougar Shop
Since the total cost from both places should be the same, we can equate the two expressions:
60x = 80(42 - x)
Simplifying the equation:
60x = 3360 - 80x
Combining like terms:
140x = 3360
Dividing both sides by 140:
x = 24
Therefore, Pat bought 24 pens from Target (at 60 cents each) and 18 pens from the Cougar Shop (at 80 cents each).
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Maria is currently taking quantitative literacy course. The instructor often gives quizzes. Each quiz is worth
10 points. Maria got the following scores: 10, 9, 10, 9, 10.
(a) Calculate the average of her quizzes. Round your answer to the nearest tenth (if needed).
(b) Calculate standard deviation of her quizzes. Round your answer to the nearest tenth.
Maria's average quiz score is 9.6.
B. The standard deviation of her quizzes is approximately 0.5 (rounded to the nearest tenth).
What is the average?(a) The average of Maria's quizzes can be found by adding up all her scores and dividing by the total number of quizzes:
Average = (10 + 9 + 10 + 9 + 10) / 5 = 9.6
Therefore, Maria's average quiz score is 9.6.
(b) To calculate the standard deviation of her quizzes, we first need to find the variance. We can do this by finding the average of the squared differences between each score and the mean:
[(10 - 9.6)² + (9 - 9.6)² + (10 - 9.6)² + (9 - 9.6)² + (10 - 9.6)²] / 5 = 0.24
So the variance is 0.24. To find the standard deviation, we take the square root of the variance:
√0.24 ≈ 0.5
So the standard deviation of her quizzes is approximately 0.5 (rounded to the nearest tenth).
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What are the 4 tests for similar triangles?
The 4 tests for similar triangles are:-
AAA: Three pairs of equal angles.
SSS: Three pairs of sides in the same ratio.
SAS: Two pairs of sides in the same ratio and an equal included angle.
ASA: Two angles and the side included between the angles of one triangle are equal
What is AAA,SAS,ASA,SSS?
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.
According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.
According to the AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."
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Which transformation of the parent square root function will result in the given domain and range? domain: [2, infinity) range: [3, infinity)
A. j(x) = (x + 2)³ + 3
B. k(x) = (z + 3) – 2
C. g(x) = (x − 2)³ + 3
D. (z) = (x − 3)¹ – 2
Answer:
D. (z) = (x − 3)¹ – 2
Step-by-step explanation:
To determine which transformation of the parent square root function will result in the given domain and range, we need to consider the effects of the transformations on the function.
The parent square root function is given by f(x) = √x.
Let's analyze each option and see if it satisfies the given conditions:
A. j(x) = (x + 2)³ + 3
This transformation involves shifting the graph 2 units to the left and 3 units up. However, this does not change the domain of the function, so it does not satisfy the given domain condition.
B. k(x) = (z + 3) – 2
This transformation involves shifting the graph 3 units to the left and 2 units down. Again, this does not change the domain of the function, so it does not satisfy the given domain condition.
C. g(x) = (x − 2)³ + 3
This transformation involves shifting the graph 2 units to the right and 3 units up. However, this does not change the range of the function, so it does not satisfy the given range condition.
D. z(x) = (x − 3)¹ – 2
This transformation involves shifting the graph 3 units to the right and 2 units down. This shift does not affect the domain of the function, but it affects the range. The function z(x) = (x − 3)¹ – 2 starts at y = -2 when x = 3, and it increases as x goes to infinity. Therefore, it satisfies both the given domain and range conditions.
Based on the analysis, the correct transformation that satisfies the given domain and range is option D:
z(x) = (x − 3)¹ – 2
chatgpt
Please help me with this is my last question
Answer:
a
Step-by-step explanation:
Answer:
A
........................